103131132013 has 16 divisors (see below), whose sum is σ = 127241013760. Its totient is φ = 81398722176.

The previous prime is 103131131977. The next prime is 103131132029. The reversal of 103131132013 is 310231131301.

It is a cyclic number.

It is not a de Polignac number, because 103131132013 - 2²¹ = 103129034861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131132613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348245 + ... + 1422682.

It is an arithmetic number, because the mean of its divisors is an integer number (7952563360).

Almost surely, 2^103131132013 is an apocalyptic number.

103131132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103131132013 is a deficient number, since it is larger than the sum of its proper divisors (24109881747).

103131132013 is a wasteful number, since it uses less digits than its factorization.

103131132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771356.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 103131132013 its reverse (310231131301), we get a palindrome (413362263314).

The spelling of 103131132013 in words is "one hundred three billion, one hundred thirty-one million, one hundred thirty-two thousand, thirteen".